Y by EscoPablobar
Let
be a non-zero real number. Find all functions
such that
for all
.


![\[
xf(x+y)=(x+\alpha y)f(x)+xf(y)
\]](http://latex.artofproblemsolving.com/e/c/5/ec5a49e0735e3b13fbef38905c0d7405f44d09b2.png)

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